A school wishes to enclose its rectangular
playground using 280 meters of fencing.
Suppose that a side length (in meters) of the
playground is, as shown below.
(a) Find a function that gives the area A(x) of the
playground (in square meters) in terms of x.
(b) What side length x gives the maximum area
that the playground can have?
(c) What is the maximum area that the playground
can have?